how do i solve for angle 1 and 2?​

Given:

Degree of polynomial = 3

Zeros are -​3,-​1, and 4.

The leading coefficient is -4.

To find:

The polynomial.

Solution:

The general form of a polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.

Zeros of the polynomial are -​3,-​1, and 4. So,

[tex]P(x)=a(x-(-3))(x-(-1))(x-4)[/tex]

[tex]P(x)=a(x+3)(x+1)(x-4)[/tex]

[tex]P(x)=a(x^2+3x+x+3)(x-4)[/tex]

[tex]P(x)=a(x^2+4x+3)(x-4)[/tex]

[tex]P(x)=a(x^3+4x^2+3x-4x^2-16x-12)[/tex]

[tex]P(x)=a(x^3-13x-12)[/tex]

[tex]P(x)=ax^3-13ax-12a[/tex]

Here, leading coefficient is a.

The leading coefficient is -4. So, a=-4.

[tex]P(x)=(-4)x^3-13(-4)x-12(-4)[/tex]

[tex]P(x)=-4x^3+52x+48[/tex]

Therefore, the required polynomial is [tex]P(x)=-4x^3+52x+48[/tex].

Answer:

There were 12 girls in the group

Step-by-step explanation:

Assume that the number of girls at first is x

∵ There were x girls in a group

∵ Each girl pays 25 to use a boat

∴ The amount paid = 25 × x

∴ The amount paid = 25x

∵ If there had been 3 more girls in the group

→ That means add x by 3

∴ The number of girls in the group = x + 3

∵ Each would have paid 5 less

∴ Each girl would have paid 25 - 5 = 20

∴ Each girl would have paid 20

∴ The amount paid = 20 × (x + 3)

∴ The amount paid = 20(x) + 20(3)

∴ The amount paid = 20x + 60

→ Equate the right sides of the amount paid

∵ 25x = 20x + 60

→ Subtract 20x from both sides

∴ 25x - 20x = 20x - 20x + 60

∴ 5x = 60

→ Divide both sides by 5 to find x

∴ x = 12

∵ x represents the number of the girls in the group

∴ There were 12 girls in the group

Answer :-

As we know that ,

By substituting the given values ,

➨ 125 = 25 × height

➨ 125/25 = Height

➨ Height = 5 cm

Hence, height of the parallelogram. = 5cm

Answer:

The container can hold 280 liters of water.

Step-by-step explanation:

Proportions

The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.

If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

[tex]\mathrm{Portion\ poured }=\frac{1}{4}-\frac{1}{8}=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}[/tex]

If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.

The container can hold 280 liters of water.

Answer:

Weight of 1 mango = 0.75 pounds

Weight of 400 mangoes = 400* 0.75

= 300 pounds

The total weight of the mangoes in the barrel is 300 pound.

Answer:

122 degrees, its not a straight line its obtuse.

Answer:

A.

Step-by-step explanation:

I think

Answer:

2y = 3x-1

Step-by-step explanation:

We start by calculating the slope of AB

m = (y2-y1)/(x2-x1) = (2-5)/(4-6) = 3/2

Since the two lines are parallel, then their slopes are equal

We use the point-slope form to get the equation

That will be;

y-y1 = m(x-x1)

y-10 = 3/2(x-7)

y = 3x/2-21/2+ 10

Multiply through by 2

2y= 3x -21 + 20

2y = 3x-1

Answer:

Step-by-step explanation:

10x - 5° + 10x + 5° + 80° = 180°

20x = 100°

x = 5°

10x - 5° = 10×5° - 5° = 45°

10x + 5° = 10×5° + 5° = 55°

Answer:

percent

Step-by-step explanation:

it has a percent sign

Please mark me brainliest

Answer:

[tex]2x {}^{2} + 9x - 5[/tex]

Answer:

1.Yes

2.yes

3.yes

4.no

5.yes

Step-by-step explanation:

The standard form for linear equations in two vaiables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Answer:

kk

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

Is there an attachment?

Answer:

2. x/-5 = 22

3. Multiply both sides by -5

4. x = -110

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

its 4 man trussss me

Answer:

4

Step-by-step explanation:

Answer:

There are 5 multiple choice questions

Step-by-step explanation:

No of questions = 20

A test has 20 questions worth 100 points.

The test consists of True False question worth 3 points each and multiple choice questions worth 11 points each.

Let r represents the number of true false questions and y represents the multiple choice questions.

ATQ,

x+y = 20 ....(1)

3x+11y = 100 ....(2)

We need to find the number of questions of each type.

Multiply equation (1) by 3.

3x + 3y = 60 ...(3)

Subtract equation (2) from (3).

3x + 3y - (3x+11y) = 60-100

3x+3y-3x-11y = -40

-8y = -40

y = 5

Put the value of y in equation (1)

x+5=20

x = 15

The solution to the system is (15,5). Hence, there are 5 multiple choice questions and 15 true/false questions.

Answer:

The option 'b' is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=\frac{2}{x+7}[/tex]

A function g is the inverse of the function f if for y=f(x), x=g(y)

[tex]y=\frac{2}{x+7}[/tex]

Replace x with y

[tex]\:x=\frac{2}{y+7}[/tex]

solve for y

[tex]y=\:\:\frac{2}{x}-7[/tex]

Thus,

[tex]f^{-} (x)=\frac{-7x+2}{x}[/tex]

Therefore, option b is true.

Answer:

I think it's the lightning bolts and moons

Step-by-step explanation:

Answer:

20 miles

Step-by-step explanation:

Answer: choice a

Step-by-step explanation:

Set up your variables. For this question lets use x, y, and z.

the equations will be . .

x + y + z = 165

x = 2y - 65

z = y -10

If we now substitude the equations for x and z with the first equation we cans solve for y. Hence the equation will be  . . .

2y - 65 + y + y -10 = 165

y = 60

then substitude the equations for x and z with y.

your answer should match choice a.

Answer:

y=60

Step-by-step explanation:

.....................................................................

Step-by-step explanation:

x² + y² - 6x + 4y + 12 = 0

(x - 3)² + (y + 2)² = 1

Hence the equation of the concentric circle is (x - 3)² + (y + 2)² = 25.

Answer:

50009yoyiyitotoltkggoykipo

5

Answer:

See below.

Step-by-step explanation:

There are 12 months in 1 year.

Since her balance changes -$2,931 is 1 year, it changes 1/12 of that amount in 1 month.

1/12 * -$2,931 = -$2,931/12 = -$244.25

The change each month is -$244.25

The change in 1 month is found by dividing the change in 1 year by 12 since there are 12 months in 1 year.

In 6 months, the change is 6 times the change in 1 month.

6 * -$244.25 = -$1,465.50

The change in 6 months is -$1,465.50

Answer:

x = 108

Step-by-step explanation:

The angles all add up to 180 degrees, so if you subtract 25 and 47 from 180, you get x.

we know that the triangle is always going to be 180 degrees so add up 25 + 47 = 72

Now 180 - 72 = 108

108 is the answer :)

Answer:

15% left

Step-by-step explanation:

He had 300 to start with and spent 60% ($180) and then spent 25% ($75) so he has 15% left or $45

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]\frac{440}{8} =\frac{605}{x}[/tex]

[tex]440x=605(8)[/tex]

[tex]440x=4840[/tex]

[tex]x=11[/tex]

Answer: $5100

Step-by-step explanation:

The expected value of the contract proposal should be considered as the $24,280.

Since  

The probability of winning a contract at 0.30.

The contract is worth $25,000 and the cost to prepare the contract proposal is $2400.

So here the expected value be like

= $25,000 - (0.30) ($2,400)

= $25,000 - $720

= $24,280

hence, The expected value of the contract proposal should be considered as the $24,280.

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